Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
159301	Find the Holes in the Graph	f(x)=(-3x+3)/(x^2-1)	$f (x) = \frac{- 3 x + 3}{x^{2} - 1}$
159302	Solve for s	3=-2\|1/4s-5\|+3	$3 = - 2 \| \frac{1}{4} s - 5 \| + 3$
159303	Simplify	square root of -6* square root of -12* square root of -5	$\sqrt{- 6} \cdot \sqrt{- 12} \cdot \sqrt{- 5}$
159304	Graph Using a Table of Values	y=-2x^2	$y = - 2 x^{2}$
159305	Simplify	(-5x^2-4x-1)+(-4x^2-4x)	$(- 5 x^{2} - 4 x - 1) + (- 4 x^{2} - 4 x)$
159306	Graph	f(x)=-1/2(x+2)(x+1)^2(x-1)	$f (x) = - \frac{1}{2} (x + 2) {(x + 1)}^{2} (x - 1)$
159307	Solve for θ	cos(2theta)=( square root of 3)/2	$\cos (2 θ) = \frac{\sqrt{3}}{2}$
159308	Solve for x	1/2-x+3/2=x-4	$\frac{1}{2} - x + \frac{3}{2} = x - 4$
159309	Solve the Inequality for x	x^2-9>0	$x^{2} - 9 > 0$
159310	Find the Sum and Product of the Roots of the Quadratic Equation	x^2+7x+10=0	$x^{2} + 7 x + 10 = 0$
159311	Find the Product	(2x-1)^2	${(2 x - 1)}^{2}$
159312	Solve for c	2c-12c+13c=12	$2 c - 12 c + 13 c = 12$
159313	Solve for x	1-2x+5=4x-3	$1 - 2 x + 5 = 4 x - 3$
159314	Solve for x	square root of x^2=x	$\sqrt{x^{2}} = x$
159315	Graph Using a Table of Values	f(x)=2(1/2)^x	$f (x) = 2 {(\frac{1}{2})}^{x}$
159316	Simplify	(x^2-5x+6)+(3x^2-8x-2)	$(x^{2} - 5 x + 6) + (3 x^{2} - 8 x - 2)$
159317	Find the Sum and Product of the Roots of the Quadratic Equation	x^2+5x+4=0	$x^{2} + 5 x + 4 = 0$
159318	Simplify	(5x^2+13x-4)-(17x^2+7x-19)+(5x-7)(3x+1)	$(5 x^{2} + 13 x - 4) - (17 x^{2} + 7 x - 19) + (5 x - 7) (3 x + 1)$
159319	Simplify	(3y)/(y^2+7y+10)+2/(y+2)	$\frac{3 y}{y^{2} + 7 y + 10} + \frac{2}{y + 2}$
159320	Solve for C	9/5C+32=F	$\frac{9}{5} C + 32 = F$
159321	Evaluate	f^-1(2)	$f^{- 1} (2)$
159322	Solve for x	f(x)=a(x-h)^2+k	$f (x) = a {(x - h)}^{2} + k$
159323	Find the Distance Between Two Points	(-4,6) and (3,-7)	$(- 4, 6)$ and $(3, - 7)$
159324	Multiply	-1/3*2	$- \frac{1}{3} \cdot 2$
159325	Simplify	(6/(k-4))÷((k+6)/(k^2+2k-24))	$\frac{6}{k - 4} \div \frac{k + 6}{k^{2} + 2 k - 24}$
159326	Graph	y^2	$y^{2}$
159327	Solve the Inequality for n	n/-3>=1	$\frac{n}{- 3} \geq 1$
159328	Graph	f(x)=3/8(x-1)(x-9)	$f (x) = \frac{3}{8} (x - 1) (x - 9)$
159329	Simplify	2( cube root of 16x^3y)+4( cube root of 54x^6y^5)	$2 (\sqrt[3]{16 x^{3} y}) + 4 (\sqrt[3]{54 x^{6} y^{5}})$
159330	Solve for x	(3/5)^(x+1)=25/9	${(\frac{3}{5})}^{x + 1} = \frac{25}{9}$
159331	Solve for R₁	1/R=1/R_1+1/R_2	$\frac{1}{R} = \frac{1}{R_{1}} + \frac{1}{R_{2}}$
159332	Multiply	-1*1/2	$- 1 \cdot \frac{1}{2}$
159333	Graph	g(x)=f(x-1)	$g (x) = f (x - 1)$
159334	Graph	g(x)=f(x+2)-5	$g (x) = f (x + 2) - 5$
159335	Find the Product	(a-b)^2	${(a - b)}^{2}$
159336	Graph	y=(1/4x)^2	$y = {(\frac{1}{4} x)}^{2}$
159337	Graph	2g(x)-3	$2 g (x) - 3$
159338	Solve the Inequality for x	((x-5)^2)/(x^2-9)>=0	$\frac{{(x - 5)}^{2}}{x^{2} - 9} \geq 0$
159339	Factor	y^4+1+2y^2	$y^{4} + 1 + 2 y^{2}$
159340	Solve the Inequality for x	x^2+2x>3	$x^{2} + 2 x > 3$
159341	Solve for t	3/2+t=1/2	$\frac{3}{2} + t = \frac{1}{2}$
159342	Simplify	(1+i)/(1-i)	$\frac{1 + i}{1 - i}$
159343	Solve for z	14(z+3)=14z+21	$14 (z + 3) = 14 z + 21$
159344	Solve for x	4+ square root of 5x+66=x+10	$4 + \sqrt{5 x + 66} = x + 10$
159345	Convert to a Decimal	240deg	$240$ degrees
159346	Simplify	3g+6(-g+(-5))	$3 g + 6 (- g + (- 5))$
159347	Factor	9b^2-30a^2b+25a^4	$9 b^{2} - 30 a^{2} b + 25 a^{4}$
159348	Simplify	(-2- square root of 15)/2	$\frac{- 2 - \sqrt{15}}{2}$
159349	Solve the Inequality for x	((x-5)^2)/(x^2-1)>=0	$\frac{{(x - 5)}^{2}}{x^{2} - 1} \geq 0$
159350	Simplify	((n-4)/(7n^2-28n))÷((3n)/(n-2))	$\frac{n - 4}{7 n^{2} - 28 n} \div \frac{3 n}{n - 2}$
159351	Solve for x	1/3(6x-5)-x=1/3-2(x+1)	$\frac{1}{3} (6 x - 5) - x = \frac{1}{3} - 2 (x + 1)$
159352	Solve by Factoring	x^2+10x+8=x	$x^{2} + 10 x + 8 = x$
159353	Factor	x^5y^4-y^4	$x^{5} y^{4} - y^{4}$
159354	Simplify	5/(n+1)*(n+1)/(n+3)	$\frac{5}{n + 1} \cdot \frac{n + 1}{n + 3}$
159355	Simplify	(5x^2+8x)+(x^2-5x+1)	$(5 x^{2} + 8 x) + (x^{2} - 5 x + 1)$
159356	Solve the Inequality for x	(2(x-4))/x<-4	$\frac{2 (x - 4)}{x} < - 4$
159357	Factor	1-2a^3+a^6	$1 - 2 a^{3} + a^{6}$
159358	Find the Product	(3x-6)(2x^2-7x+1)	$(3 x - 6) (2 x^{2} - 7 x + 1)$
159359	Simplify	((a^3b^5)^2)/(a^6(b^4)^2)	$\frac{{(a^{3} b^{5})}^{2}}{a^{6} {(b^{4})}^{2}}$
159360	Solve the Inequality for x	(x+2)/(x-3)<=0	$\frac{x + 2}{x - 3} \leq 0$
159361	Solve for x	5(x-6)+3x=3/4(2x-8)	$5 (x - 6) + 3 x = \frac{3}{4} (2 x - 8)$
159362	Find the Holes in the Graph	f(x)=(x-2)/(x^2-4)	$f (x) = \frac{x - 2}{x^{2} - 4}$
159363	Solve the Inequality for g	8g-5g-4<=-3+3g	$8 g - 5 g - 4 \leq - 3 + 3 g$
159364	Simplify	(2x^2+7x)+(-x^2+10x+3)	$(2 x^{2} + 7 x) + (- x^{2} + 10 x + 3)$
159365	Solve for x	(x-y)/(2z)=3	$\frac{x - y}{2 z} = 3$
159366	Solve Using the Quadratic Formula	6/x+(x-3)/4=2	$\frac{6}{x} + \frac{x - 3}{4} = 2$
159367	Convert to a Decimal	300deg	$300$ degrees
159368	Solve the Inequality for x	x^2-3x-10<=0	$x^{2} - 3 x - 10 \leq 0$
159369	Convert to Polar	x^2+y^2=4	$x^{2} + y^{2} = 4$
159370	Solve the System of Equations	7x+2y=24 8x+2y=30	$7 x + 2 y = 24$ $8 x + 2 y = 30$
159371	Solve the Inequality for x	x^2-3x-10<0	$x^{2} - 3 x - 10 < 0$
159372	Convert to a Decimal	210deg	$210$ degrees
159373	Solve the Inequality for x	((x-5)^2)/(x^2-16)>=0	$\frac{{(x - 5)}^{2}}{x^{2} - 16} \geq 0$
159374	Solve the Inequality for x	6x+10>5x-12	$6 x + 10 > 5 x - 12$
159375	Find the Product	(-6a^3b+2ab^2)(5a^2-2ab^2-b)	$(- 6 a^{3} b + 2 a b^{2}) (5 a^{2} - 2 a b^{2} - b)$
159376	Evaluate	9-1+9+3^4	$9 - 1 + 9 + 3^{4}$
159377	Solve the Inequality for f	8+10f>14-2f	$8 + 10 f > 14 - 2 f$
159378	Solve for x	x/6+5=1/3-x	$\frac{x}{6} + 5 = \frac{1}{3} - x$
159379	Factor	55m^2n^3x+110m^2n^3x^2-220m^2y^3	$55 m^{2} n^{3} x + 110 m^{2} n^{3} x^{2} - 220 m^{2} y^{3}$
159380	Solve the Inequality for x	5x+13>=-37	$5 x + 13 \geq - 37$
159381	Solve for x	5x-2(2x-1)=6	$5 x - 2 (2 x - 1) = 6$
159382	Solve for x	169^x=13^x	$169^{x} = 13^{x}$
159383	Graph	y>=x^2-3	$y \geq x^{2} - 3$
159384	Solve for m	y-y_1=m(x-x_1)	$y - y_{1} = m (x - x_{1})$
159385	Find the LCD	2/(x^2-x-12) and 1/(x^2-16)	$\frac{2}{x^{2} - x - 12}$ and $\frac{1}{x^{2} - 16}$
159386	Find the Product	-9x(5-2x)	$- 9 x (5 - 2 x)$
159387	Solve for p	4\|p-3\|=\|2p+8\|	$4 \| p - 3 \| = \| 2 p + 8 \|$
159388	Graph	(-5,1)	$(- 5, 1)$
159389	Simplify	((2m+4)/8)÷((m+2)/6)	$\frac{2 m + 4}{8} \div \frac{m + 2}{6}$
159390	Factor	a^3-a^2x+ax^2	$a^{3} - a^{2} x + a x^{2}$
159391	Solve for k	\|3k-2\|=2\|k+2\|	$\| 3 k - 2 \| = 2 \| k + 2 \|$
159392	Simplify	(8x+5)+(-x^2-8)	$(8 x + 5) + (- x^{2} - 8)$
159393	Solve the Absolute Value Inequality for x	\|x\|<3	$\| x \| < 3$
159394	Graph	y=-x^3+4x	$y = - x^{3} + 4 x$
159395	Find the Function	f(x)=5x	$f (x) = 5 x$
159396	Simplify	(-4x^2+x)-(-8x^2-2x+6)	$(- 4 x^{2} + x) - (- 8 x^{2} - 2 x + 6)$
159397	Evaluate	(x+2)(x-2)	$(x + 2) (x - 2)$
159398	Find the Function	f(x)=x+4	$f (x) = x + 4$
159399	Solve the Inequality for x	x^2-2x-8<0	$x^{2} - 2 x - 8 < 0$
159400	Solve for K	F=9/5(K-273.15)+32	$F = \frac{9}{5} (K - 273.15) + 32$